The author gives necessary and sufficient conditions for a stably hereditary algebra to be tilted or iterated tilted in terms of its bound quiver. Recall that an algebra \(A\) is `stably hereditary' provided there exists a hereditary algebra \(H\) such that the stable categories \(\underline{\text{mod}}\,A\) and \(\underline{\text{mod}}\,H\) are equivalent. On the other hand, the classes of tilted and iterated tilted algebras play an important role in the modern representation theory. The main result states that if \(A=kQ/I\) (where \(k\) is a field and \((Q,I)\) is a bound quiver) is stably hereditary, then \(A\) is iterated tilted if and only if \((Q,I)\) satisfies the clock condition, and it is tilted if and only if \((Q,I)\) satisfies the clock condition and does not contain any double-zero.